Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4004b |
Isogeny class |
Conductor |
4004 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-47375840512 = -1 · 28 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1188,18532] |
[a1,a2,a3,a4,a6] |
j |
-724934194000/185061877 |
j-invariant |
L |
1.0775747483415 |
L(r)(E,1)/r! |
Ω |
1.0775747483415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16016i2 64064q2 36036n2 100100a2 |
Quadratic twists by: -4 8 -3 5 |